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Math Help - Need Help with "Exact Values" and absolute value of a linear function.

  1. #1
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    Red face Need Help with "Exact Values" and absolute value of a linear function.

    1. Don't understand how exact values work
    2. |3x-2| = 4 ---- Please solve
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  2. #2
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    Quote Originally Posted by liveboon View Post
    1. Don't understand how exact values work
    2. |3x-2| = 4 ---- Please solve
    (1) If the question asks for the exact value of \frac{2}{\sqrt{2}} , you are expected to give the answer in surd form, \sqrt{2} instead of 1.41 because \sqrt{2} is the more exact value to represent the answer than 1.41

    (2) 3x-2=\pm 4
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  3. #3
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    2.
    |3x - 2| = 4


    Remember that |3x - 2| = \begin{cases}\phantom{-(}3x-2\phantom{)}\,\textrm{if }3x - 2 \geq 0\\ -(3x - 2)\,\textrm{if }3x - 2 < 0\end{cases}

     = \begin{cases}3x - 2 \,\textrm{if } x \geq \frac{2}{3}\\ 2 - 3x \,\textrm{if }x < \frac{2}{3}\end{cases}


    So IF 3x - 2 = 4 then x = 2. Is this possible?

    IF 2 - 3x = 4 then x = -\frac{2}{3}. Is this possible?
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